# 'H' symbol as a power of matrix

Here is capture of problem

That is what I saw while I was studying maximum ratio combining (MRC) in communication. It is probably very simple and stupid thing to ask. I guess it is Hermitian of a matrix but i am not sure.. Here is entire content: http://www.dsplog.com/2008/09/28/maximal-ratio-combining/

You are right in that it is the Hermitian transpose.

Essentially, it is the standard transpose of a matrix, except in addition to swapping row/column indices, you also take the complex conjugate of the entry:

$$a^H_{ij} = \bar{a}_{ji}$$